We are now ready to present the model of \(N\) -player mean-field games. The model below differs from the classical model of mean-field games (as presented in [1]}, [2]} or [3]}), which assumes a continuum of agents. Here, we consider models with a possibly large but finite number of symmetric, weakly coupled agents. Our model closely resembles the one used in [4]}, which studies existence of equilibrium and allows for general state and actions spaces. In contrast to [4]}, we restrict our attention to \(N\) -player mean-field games with finite state and action spaces, and we consider a variety of observation channels.
